However, the sensitivity of the present study is very far from
theoretical estimations of the \(^{190}\) Pt decay probability. For
instance, the calculations of the \(^{190}\) Pt half-life relative to
the resonant \(0\nu 2\varepsilon \)  transitions to the 1326.2 keV
[1382.4 keV] level of \(^{190}\) Os are in the interval \(T_{1/2}\sim (3.3\times 10^{26}-1.6\times 10^{30})\)  yr [\(T_{1/2}\sim (1.0\times 10^{30}-6.5\times 10^{30})\)  yr] (assuming the effective
Majorana neutrino mass \(\langle m_{\nu }\rangle =0.1\)  eV and the
weak axial-vector coupling constant \(g_A=1.27\) ) (see Table IV in
[1]}). Nevertheless, achievement of the sensitivity
on the level of \(T_{1/2}\sim (10^{26}-10^{27})\)  yr looks realistic
taking into account the great progress in the ultralow-background
HPGe [2]} and low-temperature bolometers
[3]}, [4]}, [5]}, [6]}
detection techniques, the experimental approaches that look the
most promising for possible large-scale searches for the resonant
\(0\nu 2\varepsilon \)  decays.
